├── LICENSE ├── README.md ├── README.tex.md ├── gpr_tutorial.ipynb ├── img ├── 1dGaussian.png ├── 2dGaussian.png ├── 2d_gaussian3D_0.8.png ├── 2d_gaussian_0.8.png ├── 2d_gaussian_conditional.png ├── 2d_gaussian_conditional3D.png ├── 2gaussian.png ├── 2points_covariance.gif ├── 4points_covariance.gif ├── codes_plot_output │ ├── output_10_1.png │ ├── output_14_0.png │ ├── output_16_0.png │ ├── output_19_0.png │ ├── output_21_0.png │ ├── output_29_0.png │ ├── output_35_0.png │ ├── output_38_0.png │ ├── output_40_1.png │ ├── output_44_0.png │ ├── output_59_0.png │ ├── output_62_0.png │ ├── output_63_1.png │ └── output_72_0.png ├── gp.png ├── gp1.png ├── gpr_animation.gif ├── gpr_animation_wide.gif ├── hyperparameter.png ├── mul_var_gaussian.png ├── mvn.png ├── mvn_theorem.png ├── regression1.png └── regression2.png ├── latex └── arXiv │ ├── README │ ├── bibliography.bib │ ├── elsarticle-num.bst │ ├── elsarticle-template-num.bbl │ ├── elsarticle-template-num.tex │ ├── elsarticle.cls │ ├── elsarticle.dtx │ ├── elsarticle.ins │ ├── figs │ ├── 1d_random.pdf │ ├── 200d_gaussian_kernel_prior.png │ ├── 20d_gaussian_kernel_prior.pdf │ ├── 20d_gaussian_prior.pdf │ ├── 2d_gaussian_conditional.pdf │ ├── 2d_gaussian_example.pdf │ ├── 2gaussian.pdf │ ├── 2gaussian.png │ ├── 3d_gaussian_example.pdf │ ├── example.png │ ├── illustrative_posterior_func.pdf │ ├── ingenuity-labs-cover.pdf │ ├── l_large.pdf │ ├── l_medium.pdf │ ├── l_small.pdf │ ├── marshall.png │ ├── offroad-icon.pdf │ ├── predictions.png │ ├── random_x1.pdf │ ├── random_x1.png │ ├── random_x1_x2.pdf │ ├── random_x1_x20.pdf │ ├── random_x1x2.pdf │ ├── regression.pdf │ ├── regression_gpflow.pdf │ └── regression_points.pdf │ └── manifest.txt └── tex ├── 07617f9d8fe48b4a7b3f523d6730eef0.svg ├── 07bdc2a7c5138580e2f4b172dc9aedff.svg ├── 0cb4940c22af62831e65276a3af113bd.svg ├── 0e241c321e18ed6141f9a47d8095bebd.svg ├── 0e51a2dede42189d77627c4d742822c3.svg ├── 0ffac17b7e0be52ed29050057d2f8813.svg ├── 127335a9fdbeac98b11620d6cfd8ecea.svg ├── 1533fefb8348ed2119c7920bf5d7a8a5.svg ├── 161805ece9a8142e4ebe9d356fd0f763.svg ├── 18c86fe07e798736bb4ea0f824b20d97.svg ├── 2046f09dc8dbbcef6eed2880b9c2f469.svg ├── 277fbbae7d4bc65b6aa601ea481bebcc.svg ├── 27e556cf3caa0673ac49a8f0de3c73ca.svg ├── 2eb55e8e14e6d3fe2a68fbbb8309823d.svg ├── 2f2322dff5bde89c37bcae4116fe20a8.svg ├── 332cc365a4987aacce0ead01b8bdcc0b.svg ├── 334845bbe48024b4b5bec361bca3d0ad.svg ├── 3549998db32a2708908ef327f2b3a965.svg ├── 370055884e7a54d58c6a734d6a7b2a84.svg ├── 3a7e011fcce2798d8f8a0d1c26dc920c.svg ├── 3c61e97f3a775c71752c1376d7c563bd.svg ├── 3c832332166b20f879ddebdf25829927.svg ├── 3fc7e158ad67836edf7a548295603ba3.svg ├── 443fbe95e05f23fd37ec921303ee71c8.svg ├── 467f6c046e010c04cafe629aaca84961.svg ├── 47b0192f8f0819d64bce3612c46d15ea.svg ├── 47e8490080cc632f4bd33525f9d638eb.svg ├── 483b1de0709e4c80f0688f7a551102e6.svg ├── 49ee6a80c122f4ff5148bcc61160568c.svg ├── 4a0dab614eaf1e6dc58146666d67ace8.svg ├── 4d00376b927ae39d0a206dc721cfc59f.svg ├── 558e1b6b0d61666c16dd87622253a301.svg ├── 55a049b8f161ae7cfeb0197d75aff967.svg ├── 566b2cb05c0a99e03f7e1ba12945ce8a.svg ├── 5c62da39aa7289df62d937cb24a31161.svg ├── 5d01d8b29b1de37fa1d298968821c94f.svg ├── 63812e72584465db6349f29f51a43a87.svg ├── 644b2bf06bea8f12e9df49b87db4b61d.svg ├── 66e114b7f1f95026b004600d3d19c953.svg ├── 719e9a6916bc1b80643e47b9e7c2f23a.svg ├── 78ec2b7008296ce0561cf83393cb746d.svg ├── 796df3d6b2c0926fcde961fd14b100e7.svg ├── 7c91fa1fa7be856b248f729bd78b5f6f.svg ├── 7cf00a5a1141aeaa2c63639b2cd3ea59.svg ├── 7f7cffcdf59b071067d26657f33d1c2a.svg ├── 813cd865c037c89fcdc609b25c465a05.svg ├── 826b622228f5a0bd5f45ebf9e6765404.svg ├── 84f51d8b5ed141f9fda1a5cd161229db.svg ├── 860aa5e083826aed334c17131c32fa14.svg ├── 86c1d0ad53307b2439d4b4312ef18cd8.svg ├── 8c76e0c69c5596634f9abb693bbf9438.svg ├── 8cda31ed38c6d59d14ebefa440099572.svg ├── 91b69274abea319e9035079407c050a9.svg ├── 95d239357c7dfa2e8d1fd21ff6ed5c7b.svg ├── 9a147fe833cc6eda5be947035d6cc8aa.svg ├── 9c01d455cd47c359c5b2b27981436f64.svg ├── a0070c759142f7a0b5723afd57c22639.svg ├── a57e2662285457919869713fb6eb66b1.svg ├── aa20264597f5a63b51587e0581c48f2c.svg ├── b0ea07dc5c00127344a1cad40467b8de.svg ├── b1b4b3aa35f58e460cbd61a979593145.svg ├── b35e24d8a08c0ab01195f2ad2a78fab7.svg ├── b6903d0bfe9fdb18f618c3811752bda9.svg ├── b7d5ffe2d856ef70136d42b025daa3d7.svg ├── bacd6bdf70fdf933f86310421df0ab2b.svg ├── bb17decf13a9637a3f7cbda1e1e8cc63.svg ├── c1a328f9cc7d846af9a80807d260088f.svg ├── c416d0c6d8ab37f889334e2d1a9863c3.svg ├── cad3b7fb49f21edeede8aeb09c8ede11.svg ├── cbfb1b2a33b28eab8a3e59464768e810.svg ├── cd6667199156472c2d791d63cdfaf4c3.svg ├── d05b996d2c08252f77613c25205a0f04.svg ├── d920595d94866be7b9fe83844a059fba.svg ├── d9dbac0b5d4059824ba8c99ee4a515a9.svg ├── deceeaf6940a8c7a5a02373728002b0f.svg ├── df64afdc323a31f0579a7423dffde0ca.svg ├── e198d4bc165f68b54a9d6e79f2f4affe.svg ├── e35ef5b3fd11b9ef328b82be745d0ef9.svg ├── e550b422b54a4cca377140c08eb745ae.svg ├── e6718aa5499c31af3ff15c3c594a7854.svg ├── e88c070a4a52572ef1d5792a341c0900.svg ├── eab7fea88470156cd8aa3e8c1a13158b.svg ├── edcbf8dd6dd9743cceeee21183bbc3b6.svg ├── eee7a5f78ba55222c59c939ac23b417c.svg ├── f1fe0aebb1c952f09cdbfd83af41f50e.svg ├── f21e44741a10198e5e42671a58a486a5.svg ├── f4b3b11509dda9897b014202bf8a7df3.svg ├── f6fac43e354f1b2ca85658091df26df1.svg ├── fc320bd7465eb24927e2949902ac551d.svg ├── fd50d91508dfe8bf9a34b62d915f3f90.svg └── ff4961935f34c574c74a01d5a03dff44.svg /LICENSE: -------------------------------------------------------------------------------- 1 | MIT License 2 | 3 | Copyright (c) 2022 Jie Wang (王捷) 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | -------------------------------------------------------------------------------- /img/1dGaussian.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/1dGaussian.png -------------------------------------------------------------------------------- /img/2dGaussian.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/2dGaussian.png -------------------------------------------------------------------------------- /img/2d_gaussian3D_0.8.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/2d_gaussian3D_0.8.png -------------------------------------------------------------------------------- /img/2d_gaussian_0.8.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/2d_gaussian_0.8.png -------------------------------------------------------------------------------- /img/2d_gaussian_conditional.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/2d_gaussian_conditional.png -------------------------------------------------------------------------------- /img/2d_gaussian_conditional3D.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/2d_gaussian_conditional3D.png -------------------------------------------------------------------------------- /img/2gaussian.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/2gaussian.png -------------------------------------------------------------------------------- /img/2points_covariance.gif: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/2points_covariance.gif -------------------------------------------------------------------------------- /img/4points_covariance.gif: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/4points_covariance.gif -------------------------------------------------------------------------------- /img/codes_plot_output/output_10_1.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/codes_plot_output/output_10_1.png -------------------------------------------------------------------------------- /img/codes_plot_output/output_14_0.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/codes_plot_output/output_14_0.png -------------------------------------------------------------------------------- /img/codes_plot_output/output_16_0.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/codes_plot_output/output_16_0.png -------------------------------------------------------------------------------- /img/codes_plot_output/output_19_0.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/codes_plot_output/output_19_0.png -------------------------------------------------------------------------------- /img/codes_plot_output/output_21_0.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/codes_plot_output/output_21_0.png -------------------------------------------------------------------------------- /img/codes_plot_output/output_29_0.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/codes_plot_output/output_29_0.png -------------------------------------------------------------------------------- /img/codes_plot_output/output_35_0.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/codes_plot_output/output_35_0.png -------------------------------------------------------------------------------- /img/codes_plot_output/output_38_0.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/codes_plot_output/output_38_0.png -------------------------------------------------------------------------------- /img/codes_plot_output/output_40_1.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/codes_plot_output/output_40_1.png -------------------------------------------------------------------------------- /img/codes_plot_output/output_44_0.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/codes_plot_output/output_44_0.png -------------------------------------------------------------------------------- /img/codes_plot_output/output_59_0.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/codes_plot_output/output_59_0.png -------------------------------------------------------------------------------- /img/codes_plot_output/output_62_0.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/codes_plot_output/output_62_0.png -------------------------------------------------------------------------------- /img/codes_plot_output/output_63_1.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/codes_plot_output/output_63_1.png -------------------------------------------------------------------------------- /img/codes_plot_output/output_72_0.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/codes_plot_output/output_72_0.png -------------------------------------------------------------------------------- /img/gp.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/gp.png -------------------------------------------------------------------------------- /img/gp1.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/gp1.png -------------------------------------------------------------------------------- /img/gpr_animation.gif: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/gpr_animation.gif -------------------------------------------------------------------------------- /img/gpr_animation_wide.gif: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/gpr_animation_wide.gif -------------------------------------------------------------------------------- /img/hyperparameter.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/hyperparameter.png -------------------------------------------------------------------------------- /img/mul_var_gaussian.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/mul_var_gaussian.png -------------------------------------------------------------------------------- /img/mvn.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/mvn.png -------------------------------------------------------------------------------- /img/mvn_theorem.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/mvn_theorem.png -------------------------------------------------------------------------------- /img/regression1.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/regression1.png -------------------------------------------------------------------------------- /img/regression2.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/img/regression2.png -------------------------------------------------------------------------------- /latex/arXiv/README: -------------------------------------------------------------------------------- 1 | This is Elsevier's new document class for typeset journal articles, 2 | elsarticle.cls. It is now accepted for submitted articles, both in 3 | Elsevier's electronic submission system and elsewhere. 4 | 5 | Elsevier's previous document class for typeset articles, elsart.cls, 6 | is now over 10 years old. It has been replaced with this newly written 7 | document class elsarticle.cls, which has been developed for Elsevier 8 | by the leading TeX developer STM Document Engineering Pvt Ltd. 9 | 10 | elsarticle.cls is based upon the standard LaTeX document class 11 | article.cls. It uses natbib.sty for bibliographical references. 12 | 13 | Bugs and problems with elsarticle.cls may be reported to the 14 | developers of the class via elsarticle@stmdocs.in. 15 | 16 | The file manifest.txt provides a list of the files in the elsarticle 17 | bundle. The following are the main files available: 18 | - elsarticle.dtx, the dtx file 19 | - elsdoc.pdf, the user documentation 20 | - elsarticle-template-num.tex, template file for numerical citations 21 | - elsarticle-template-harv.tex, template file for name-year citations 22 | - elsarticle-template-num-names.tex, template file for numerical 23 | citations + new natbib option. Eg. Jones et al. [21] 24 | - elsarticle-num.bst, bibliographic style for numerical references 25 | - elsarticle-harv.bst, bibliographic style for name-year references 26 | - elsarticle-num-names.bst, bibliographic style for numerical 27 | referencces + new natbib option for citations. 28 | 29 | To extract elsarticle.cls from *.dtx: latex elsarticle.ins 30 | 31 | The documentation file is elsdoc.tex in the contrib directory. To 32 | compile it: 33 | 1. pdflatex elsdoc 34 | 2. pdflatex elsdoc 35 | 3. pdflatex elsdoc 36 | 37 | or 38 | 39 | use the makefile. Use the target `all' (eg: make all). 40 | 41 | The above procedure will create a print version, namely elsdoc.pdf. 42 | 43 | Copyright 2007-2020, Elsevier. Bugs, feature requests, suggestions and 44 | comments may be mailed to elsarticle@stmdocs.in. elsarticle.cls, 45 | related documentation and supporting packages are released under the 46 | LATEX Project Public Licence, either version 1.3 or any later 47 | version. This work has the LPPL maintenance status 48 | 'author-maintained'. 49 | -------------------------------------------------------------------------------- /latex/arXiv/bibliography.bib: -------------------------------------------------------------------------------- 1 | @book{Rasmussen2006, 2 | title = {{Gaussian Processes for Machine Learning}}, 3 | author = {Rasmussen, Carl Edward and Williams, Christopher K. I.}, 4 | year = {2006}, 5 | publisher = {The MIT Press} 6 | } 7 | 8 | @inproceedings{ghahramani2011tutorial, 9 | title={{A Tutorial on Gaussian Processes (or why I don’t use SVMs)}}, 10 | author={Ghahramani, Zoubin}, 11 | booktitle={{Machine Learning Summer School (MLSS)}}, 12 | year={2011} 13 | } 14 | 15 | @book{Murphy2012, 16 | title = {{Machine Learning: A Probabilistic Perspective}}, 17 | author = {Murphy, Kevin P}, 18 | year = {2012}, 19 | publisher = {The MIT Press} 20 | } 21 | 22 | @misc{duvenaud2016kernel, 23 | author = {Duvenaud, David}, 24 | title = {{The Kernel Cookbook}}, 25 | howpublished = {Available at \url{https://www.cs.toronto.edu/~duvenaud/cookbook}} 26 | } 27 | 28 | @phdthesis{duvenaud2014automatic, 29 | title = {{Automatic model construction with Gaussian processes}}, 30 | author = {Duvenaud, David}, 31 | school = {University of Cambridge}, 32 | year = {2014} 33 | } 34 | 35 | @inproceedings{gpss2019, 36 | title={{Computationally efficient GPs}}, 37 | author={Dai, Zhenwen}, 38 | booktitle={{Gaussian Process Summer School (GPSS)}}, 39 | year={2019} 40 | } 41 | 42 | @article{de2017gpflow, 43 | title={{GPflow: A Gaussian process library using TensorFlow}}, 44 | author={De G. Matthews, Alexander G and Van Der Wilk, Mark and Nickson, Tom and Fujii, Keisuke and Boukouvalas, Alexis and Le{\'o}n-Villagr{\'a}, Pablo and Ghahramani, Zoubin and Hensman, James}, 45 | journal={The Journal of Machine Learning Research}, 46 | volume={18}, 47 | number={1}, 48 | pages={1299-1304}, 49 | year={2017}, 50 | publisher={JMLR. org} 51 | } 52 | 53 | @inproceedings{gardner2018gpytorch, 54 | title={{GPyTorch: Blackbox Matrix-Matrix Gaussian Process Inference with GPU Acceleration}}, 55 | author={Gardner, Jacob R and Pleiss, Geoff and Bindel, David and Weinberger, Kilian Q and Wilson, Andrew Gordon}, 56 | booktitle={Advances in Neural Information Processing Systems}, 57 | year={2018} 58 | } 59 | 60 | @article{chen2018priors, 61 | title={{How priors of initial hyperparameters affect Gaussian process regression models}}, 62 | author={Chen, Zexun and Wang, Bo}, 63 | journal={Neurocomputing}, 64 | volume={275}, 65 | pages={1702--1710}, 66 | year={2018}, 67 | publisher={Elsevier} 68 | } 69 | 70 | @inproceedings{frigola2013bayesian, 71 | title={{Bayesian Inference and Learning in Gaussian Process State-Space Models with Particle MCMC}}, 72 | author={Frigola, Roger and Lindsten, Fredrik and Sch{\"o}n, Thomas B and Rasmussen, Carl Edward}, 73 | booktitle={Advances in Neural Information Processing Systems}, 74 | pages={3156--3164}, 75 | year={2013} 76 | } 77 | 78 | @article{liu2020gaussian, 79 | title={{When Gaussian process meets big data: A review of scalable GPs}}, 80 | author={Liu, Haitao and Ong, Yew-Soon and Shen, Xiaobo and Cai, Jianfei}, 81 | journal={IEEE Transactions on Neural Networks and Learning Systems}, 82 | year={2020}, 83 | publisher={IEEE} 84 | } -------------------------------------------------------------------------------- /latex/arXiv/elsarticle-template-num.bbl: -------------------------------------------------------------------------------- 1 | \begin{thebibliography}{10} 2 | \expandafter\ifx\csname url\endcsname\relax 3 | \def\url#1{\texttt{#1}}\fi 4 | \expandafter\ifx\csname urlprefix\endcsname\relax\def\urlprefix{URL }\fi 5 | \expandafter\ifx\csname href\endcsname\relax 6 | \def\href#1#2{#2} \def\path#1{#1}\fi 7 | 8 | \bibitem{Rasmussen2006} 9 | C.~E. Rasmussen, C.~K.~I. Williams, {Gaussian Processes for Machine Learning}, 10 | The MIT Press, 2006. 11 | 12 | \bibitem{ghahramani2011tutorial} 13 | Z.~Ghahramani, {A Tutorial on Gaussian Processes (or why I don’t use SVMs)}, 14 | in: {Machine Learning Summer School (MLSS)}, 2011. 15 | 16 | \bibitem{Murphy2012} 17 | K.~P. Murphy, {Machine Learning: A Probabilistic Perspective}, The MIT Press, 18 | 2012. 19 | 20 | \bibitem{duvenaud2014automatic} 21 | D.~Duvenaud, {Automatic model construction with Gaussian processes}, Ph.D. 22 | thesis, University of Cambridge (2014). 23 | 24 | \bibitem{duvenaud2016kernel} 25 | D.~Duvenaud, {The Kernel Cookbook}, Available at 26 | \url{https://www.cs.toronto.edu/~duvenaud/cookbook}. 27 | 28 | \bibitem{gpss2019} 29 | Z.~Dai, {Computationally efficient GPs}, in: {Gaussian Process Summer School 30 | (GPSS)}, 2019. 31 | 32 | \bibitem{chen2018priors} 33 | Z.~Chen, B.~Wang, {How priors of initial hyperparameters affect Gaussian 34 | process regression models}, Neurocomputing 275 (2018) 1702--1710. 35 | 36 | \bibitem{de2017gpflow} 37 | A.~G. De~G.~Matthews, M.~Van Der~Wilk, T.~Nickson, K.~Fujii, A.~Boukouvalas, 38 | P.~Le{\'o}n-Villagr{\'a}, Z.~Ghahramani, J.~Hensman, {GPflow: A Gaussian 39 | process library using TensorFlow}, The Journal of Machine Learning Research 40 | 18~(1) (2017) 1299--1304. 41 | 42 | \bibitem{gardner2018gpytorch} 43 | J.~R. Gardner, G.~Pleiss, D.~Bindel, K.~Q. Weinberger, A.~G. Wilson, {GPyTorch: 44 | Blackbox Matrix-Matrix Gaussian Process Inference with GPU Acceleration}, in: 45 | Advances in Neural Information Processing Systems, 2018. 46 | 47 | \bibitem{frigola2013bayesian} 48 | R.~Frigola, F.~Lindsten, T.~B. Sch{\"o}n, C.~E. Rasmussen, {Bayesian Inference 49 | and Learning in Gaussian Process State-Space Models with Particle MCMC}, in: 50 | Advances in Neural Information Processing Systems, 2013, pp. 3156--3164. 51 | 52 | \bibitem{liu2020gaussian} 53 | H.~Liu, Y.-S. Ong, X.~Shen, J.~Cai, {When Gaussian process meets big data: A 54 | review of scalable GPs}, IEEE Transactions on Neural Networks and Learning 55 | Systems (2020). 56 | 57 | \end{thebibliography} 58 | -------------------------------------------------------------------------------- /latex/arXiv/elsarticle.ins: -------------------------------------------------------------------------------- 1 | %% 2 | %% This file will generate fast loadable files and documentation 3 | %% driver files from the doc files in this package when run through 4 | %% LaTeX or TeX. 5 | %% 6 | %% Copyright 2007-2020 Elsevier Ltd 7 | %% 8 | %% This file is part of the 'Elsarticle Bundle'. 9 | %% --------------------------------------------- 10 | %% 11 | %% It may be distributed under the conditions of the LaTeX Project Public 12 | %% License, either version 1.2 of this license or (at your option) any 13 | %% later version. The latest version of this license is in 14 | %% http://www.latex-project.org/lppl.txt 15 | %% and version 1.2 or later is part of all distributions of LaTeX 16 | %% version 1999/12/01 or later. 17 | %% 18 | %% The list of all files belonging to the 'Elsarticle Bundle' is 19 | %% given in the file 'manifest.txt'. 20 | %% 21 | %% $Id: elsarticle.ins 191 2020-11-23 11:13:24Z rishi $ 22 | %% 23 | %% 24 | \input docstrip.tex 25 | %%\keepsilent 26 | 27 | \preamble 28 | 29 | Copyright 2007-2020 Elsevier Ltd 30 | 31 | This file is part of the 'Elsarticle Bundle'. 32 | ------------------------------------------- 33 | 34 | It may be distributed under the conditions of the LaTeX Project Public 35 | License, either version 1.2 of this license or (at your option) any 36 | later version. The latest version of this license is in 37 | http://www.latex-project.org/lppl.txt 38 | and version 1.2 or later is part of all distributions of LaTeX 39 | version 1999/12/01 or later. 40 | 41 | The list of all files belonging to the 'Elsarticle Bundle' is 42 | given in the file `manifest.txt'. 43 | 44 | \endpreamble 45 | 46 | \askforoverwritefalse 47 | 48 | \generate{\file{elsarticle.cls}{\from{elsarticle.dtx}{class}}} 49 | \obeyspaces 50 | \Msg{*************************************************************} 51 | \Msg{* *} 52 | \Msg{* To finish the installation you have to move the following *} 53 | \Msg{* file into a directory searched by TeX: *} 54 | \Msg{* *} 55 | \Msg{* elsarticle.cls *} 56 | \Msg{* and *} 57 | \Msg{* elsarticle-*.bst *} 58 | \Msg{* *} 59 | \Msg{* To produce the documentation go to the ../contrib folder *} 60 | \Msg{* and run the file elsdoc.tex through pdfLaTeX *} 61 | \Msg{* or use the Makefile which is far more easier. *} 62 | \Msg{* *} 63 | \Msg{* Happy TeXing! *} 64 | \Msg{* *} 65 | \Msg{*************************************************************} 66 | 67 | \endbatchfile 68 | -------------------------------------------------------------------------------- /latex/arXiv/figs/1d_random.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/1d_random.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/200d_gaussian_kernel_prior.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/200d_gaussian_kernel_prior.png -------------------------------------------------------------------------------- /latex/arXiv/figs/20d_gaussian_kernel_prior.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/20d_gaussian_kernel_prior.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/20d_gaussian_prior.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/20d_gaussian_prior.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/2d_gaussian_conditional.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/2d_gaussian_conditional.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/2d_gaussian_example.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/2d_gaussian_example.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/2gaussian.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/2gaussian.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/2gaussian.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/2gaussian.png -------------------------------------------------------------------------------- /latex/arXiv/figs/3d_gaussian_example.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/3d_gaussian_example.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/example.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/example.png -------------------------------------------------------------------------------- /latex/arXiv/figs/illustrative_posterior_func.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/illustrative_posterior_func.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/ingenuity-labs-cover.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/ingenuity-labs-cover.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/l_large.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/l_large.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/l_medium.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/l_medium.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/l_small.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/l_small.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/marshall.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/marshall.png -------------------------------------------------------------------------------- /latex/arXiv/figs/offroad-icon.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/offroad-icon.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/predictions.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/predictions.png -------------------------------------------------------------------------------- /latex/arXiv/figs/random_x1.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/random_x1.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/random_x1.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/random_x1.png -------------------------------------------------------------------------------- /latex/arXiv/figs/random_x1_x2.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/random_x1_x2.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/random_x1_x20.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/random_x1_x20.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/random_x1x2.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/random_x1x2.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/regression.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/regression.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/regression_gpflow.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/regression_gpflow.pdf -------------------------------------------------------------------------------- /latex/arXiv/figs/regression_points.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jwangjie/Gaussian-Process-Regression-Tutorial/4ca8ea48c95bd5db781dda0d0e5dd5e9966e4bd2/latex/arXiv/figs/regression_points.pdf -------------------------------------------------------------------------------- /latex/arXiv/manifest.txt: -------------------------------------------------------------------------------- 1 | % Copyright 2007-2020 Elsevier Ltd 2 | % 3 | % This file is part of the 'Elsarticle Bundle'. 4 | % --------------------------------------------- 5 | % 6 | % It may be distributed and/or modified under the 7 | % conditions of the LaTeX Project Public License, either version 1.2 8 | % of this license or (at your option) any later version. 9 | % The latest version of this license is in 10 | % http://www.latex-project.org/lppl.txt 11 | % and version 1.2 or later is part of all distributions of LaTeX 12 | % version 1999/12/01 or later. 13 | % 14 | % The list of all files belonging to the LaTeX 'Elsarticle Bundle' is 15 | % given in the file `manifest.txt'. 16 | % 17 | % CONTENTS OF THE ELSARTICLE BUNDLE 18 | % =============================== 19 | 20 | Directory elsarticle/ 21 | 22 | elsarticle.dtx 23 | Main package with driver 24 | 25 | elsarticle.ins 26 | installer for elsarticle.dtx 27 | 28 | elsarticle-harv.bst 29 | bibliographic style for author-year citation 30 | 31 | elsarticle-num.bst 32 | bibliographic style for numbered citation 33 | 34 | elsarticle-num-names.bst 35 | bibliographic style for numbered citation + new natbib options 36 | 37 | elsarticle-template-harv.tex 38 | article template for a document with author-year citation 39 | 40 | elsarticle-template-num.tex 41 | article template for a document with numbered citation 42 | 43 | manifest.txt 44 | this file 45 | 46 | README 47 | small readme documentation 48 | 49 | Directory elsarticle/doc/ 50 | 51 | The following files are graphic files needed for creating pdf output 52 | of the documentation from elsdoc.tex: 53 | 54 | 1pseperateaug.pdf 55 | 1psingleauthorgroup.pdf 56 | elstest-1pdoubleblind.pdf 57 | elstest-1p.pdf 58 | elstest-3pd.pdf 59 | elstest-3p.pdf 60 | elstest-5p.pdf 61 | jfigs.pdf 62 | 63 | elsdoc.tex -- LaTeX source file of documentation 64 | elsdoc.pdf -- documentation for elsarticle.cls 65 | 66 | The following files are files written out every time elsdoc.tex is 67 | compiled: 68 | 69 | elsdoc.aux 70 | elsdoc.log 71 | elsdoc.out 72 | tmp.tex 73 | 74 | Auxiliary packages needed to generate pdf output from elsdoc.tex: 75 | 76 | rvdtx.sty 77 | pdfwidgets.sty 78 | 79 | 80 | -------------------------------------------------------------------------------- /tex/07617f9d8fe48b4a7b3f523d6730eef0.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/0e51a2dede42189d77627c4d742822c3.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/0ffac17b7e0be52ed29050057d2f8813.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | -------------------------------------------------------------------------------- /tex/127335a9fdbeac98b11620d6cfd8ecea.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/1533fefb8348ed2119c7920bf5d7a8a5.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/161805ece9a8142e4ebe9d356fd0f763.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | -------------------------------------------------------------------------------- /tex/18c86fe07e798736bb4ea0f824b20d97.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | -------------------------------------------------------------------------------- /tex/277fbbae7d4bc65b6aa601ea481bebcc.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/27e556cf3caa0673ac49a8f0de3c73ca.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/2f2322dff5bde89c37bcae4116fe20a8.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/332cc365a4987aacce0ead01b8bdcc0b.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/370055884e7a54d58c6a734d6a7b2a84.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/3c832332166b20f879ddebdf25829927.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/3fc7e158ad67836edf7a548295603ba3.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | -------------------------------------------------------------------------------- /tex/47b0192f8f0819d64bce3612c46d15ea.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/47e8490080cc632f4bd33525f9d638eb.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | -------------------------------------------------------------------------------- /tex/4a0dab614eaf1e6dc58146666d67ace8.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/4d00376b927ae39d0a206dc721cfc59f.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/558e1b6b0d61666c16dd87622253a301.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/55a049b8f161ae7cfeb0197d75aff967.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/5c62da39aa7289df62d937cb24a31161.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/5d01d8b29b1de37fa1d298968821c94f.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | -------------------------------------------------------------------------------- /tex/63812e72584465db6349f29f51a43a87.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | -------------------------------------------------------------------------------- /tex/78ec2b7008296ce0561cf83393cb746d.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/796df3d6b2c0926fcde961fd14b100e7.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/7c91fa1fa7be856b248f729bd78b5f6f.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | -------------------------------------------------------------------------------- /tex/813cd865c037c89fcdc609b25c465a05.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/826b622228f5a0bd5f45ebf9e6765404.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/86c1d0ad53307b2439d4b4312ef18cd8.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | -------------------------------------------------------------------------------- /tex/8c76e0c69c5596634f9abb693bbf9438.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/8cda31ed38c6d59d14ebefa440099572.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/95d239357c7dfa2e8d1fd21ff6ed5c7b.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/9a147fe833cc6eda5be947035d6cc8aa.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/a0070c759142f7a0b5723afd57c22639.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | -------------------------------------------------------------------------------- /tex/aa20264597f5a63b51587e0581c48f2c.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | -------------------------------------------------------------------------------- /tex/b0ea07dc5c00127344a1cad40467b8de.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/b35e24d8a08c0ab01195f2ad2a78fab7.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/b6903d0bfe9fdb18f618c3811752bda9.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | -------------------------------------------------------------------------------- /tex/c416d0c6d8ab37f889334e2d1a9863c3.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/cbfb1b2a33b28eab8a3e59464768e810.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/cd6667199156472c2d791d63cdfaf4c3.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | -------------------------------------------------------------------------------- /tex/d05b996d2c08252f77613c25205a0f04.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/deceeaf6940a8c7a5a02373728002b0f.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | -------------------------------------------------------------------------------- /tex/df64afdc323a31f0579a7423dffde0ca.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | -------------------------------------------------------------------------------- /tex/e6718aa5499c31af3ff15c3c594a7854.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/e88c070a4a52572ef1d5792a341c0900.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | -------------------------------------------------------------------------------- /tex/edcbf8dd6dd9743cceeee21183bbc3b6.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/f1fe0aebb1c952f09cdbfd83af41f50e.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/f6fac43e354f1b2ca85658091df26df1.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | -------------------------------------------------------------------------------- /tex/ff4961935f34c574c74a01d5a03dff44.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | --------------------------------------------------------------------------------